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Question

SHOW CA
If C = y + 5 and D = y²y-9, find an expression that equals 2C - D in standard
form.
B

1 Answer

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Final answer:

To find the expression 2C - D, substitute the given expressions for C and D into the expression. Expanding and simplifying gives -y² + 2y + 19.


Step-by-step explanation:

To find an expression that equals 2C - D, we substitute the given expressions for C and D into the expression. Given that C = y + 5 and D = y² - 9, we have:

2C - D = 2(y + 5) - (y² - 9).

Expanding and simplifying the expression gives:

2(y + 5) - (y² - 9) = 2y + 10 - y² + 9 = -y² + 2y + 19.

Therefore, the expression 2C - D, in standard form, is -y² + 2y + 19.


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